Finding the Third Proportional to 10,076 and 20,422

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 20,422 = 20,422 : x
2. Step 2: Convert to fraction form
   10,076/20,422 = 20,422/x
3. Step 3: Cross multiply
   10,076x = 20,422 × 20,422
4. Step 4: Simplify right side
   10,076x = 417,058,084
5. Step 5: Solve for x
   x = 417,058,084/10,076
6. Step 6: Final answer
   x = 41,391.24